How to solve ANY differential equation

[MrSaiLikesPie]

"what do you think the L stands for" lmao the grade I''m about to receive on my test

[HidesInPlants]

If you could just make videos solving any Newtonian and Electronics and Optics Physics, Linear algebra, and struggling marriage problems next that’d be great

[Rambozk]

The annihilator approach is a method taught in first year university, but is not usual, since it used to tackle higher order DEs. Almost all first order equations are tackled using the methods that you described. Nice work!

[DrChrisTisdell]

The SHIELDS acronym seems to fit well with the students and ODEs in first year university. It was my favourite memory trick when I was a student.

[abderrahmanemihoub]

good video, but you must write "how to solve ANY FIRST ORDER differential equation".

[DavidAndrewsPEC]

This brings back some serious memories!

I was studying mathematical engineering physics, and loving it. Never heard this acronym but it makes some excellent sense.

[Scarecrow]

Wow. Just like that, it doesn't feel nearly as overwhelming anymore. Might actually do well on my first test tomorrow. Thanks!

[theultimatereductionist]

Given any function G(x, y, y') smooth in each of its 3 arguments, so that at least differentiation will always make sense,
just differentiate infinitely many times to generate the Taylor series.
i.e. given G(x, y, y')=0, then one differentiation yields: Gx(x, y, y') + Gy(x, y, y')*y' + Gy'(x, y, y')*y"=0
so y" = -( Gx(x, y, y') + Gy(x, y, y')*y')/Gy'(x, y, y') which we'll call H(x, y, y'). So y"=H(x, y, y').
Then repeat arbitrarily many times as needed recursively to get D^n y in terms of x, y, y'.
Set x = your favorite center of convergence, c, and you generate the Taylor series
y(x)= sum of D^n y /n! at x=c *(x-c)^n

There. That's how you solve "any" first order ODE.

[BoMbaSteR]

I think you may, Dr. Tisdell, want to change the Title a little bit to be more clear and less vague!
However, it is really helpful what you did; for memorizing the techniques for solving the DE.

Thank you so much for your helpful hint!

[xNghtMRxEdgex]

Thx for the videos Chris. Im having a final exam on ODEs and vectorial calculus next week ! This videos are extremelly useful !

[TheLlamaFarmer]

I'm in the UK studying A level maths and physics, the equivalent to the final year of high school. We have to solve first and second order differential equations in these subjects.

[nirupamamondal]

Great explanation.
I salute you.
I am from India.🇮🇳🇮🇳

[onlyphysics]

Thats a nicccceee trick you have given to us like "SHIELDS" very interesting and trick. Hope this is your own invention.. May God blesa you in here and hereafter... Thank you verry mucch.

[fasihussaini]

Great video but perhaps it wouldn't hurt learning two more additional methods namely Riccati and Clairaut for non linear and where the derivatives are taken to a power. Also Sir, please make a playlist for Complex Analysis. Much love and prayers from India.

[cloudmichael]

Ricatti ... is exact if: s'+s^2+sP=-Q=(1/2)P'+(1/4)P^2 ... and using integrating factor: -Q=(1/2)P'+(1/4)P^2+g'+g^2
... but beyond that you need more.

[ndumzavierndum]

"Anyone Heard It before? It's brilliant"
Best Part of the lecture, 😅😅😅

[DrChrisTisdell]

Sal is real superstar (much more popular than my videos). Neverthless, if you feel like making the suggestion to them then please go ahead and do so!

[geesus]

Love your videos. Keep up the good job sir.

[zekizaferaydinli]

which mathematics subjects do i need to know in order to understand and solve differential equations in university?

[MuhammadAnas-ctom]

Linear DE? higher order DE? partial DE? Laplace transform?